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        "failure_Kraus": "positive_sqrt(I-H_Y^2/B^2)",
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      "reference": "Filled negative-energy sea, all fifteen native labels, scalar blank, retained idle conjugate reference.",
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      "scalar_states": 1373,
      "all_contacts": 343,
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      "pulse_probability_bounds": [
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      "pulse_scope": "A distinct three-site texture-off member executes all ninety fermion modes through complete H² and H³ actions. A quantum scalar pulse with its dual reference gives a strictly positive distant-pair record. The yes/no measurement retains its full complement; this is no rest-mass or light-cone derivation."
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      "scope": "Three interaction channels and three color components do not count physical generations. The minimal neutral contact null directions and the optional sterile zero-energy spectator do not predict neutrino oscillations."
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    },
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              "fraction_of_expected_counts": 0.023940475384991066,
              "mean_number": 1.9900000833325,
              "species": "neutrino_mass_eigenstate_1"
            },
            {
              "fraction_of_expected_counts": 0.023940475384991066,
              "mean_number": 1.9900000833325,
              "species": "neutrino_mass_eigenstate_2"
            },
            {
              "fraction_of_expected_counts": 0.023940475384991066,
              "mean_number": 1.9900000833325,
              "species": "neutrino_mass_eigenstate_3"
            },
            {
              "fraction_of_expected_counts": 0.00212647509745621,
              "mean_number": 0.17675862960496191,
              "species": "photon"
            },
            {
              "fraction_of_expected_counts": 0.14364181046972274,
              "mean_number": 11.939913899286427,
              "species": "strange"
            },
            {
              "fraction_of_expected_counts": 0.04763754924820217,
              "mean_number": 3.9597679431675066,
              "species": "tau"
            },
            {
              "fraction_of_expected_counts": 0.0446391914357759,
              "mean_number": 3.71053595421838,
              "species": "top"
            },
            {
              "fraction_of_expected_counts": 0.14364285175864958,
              "mean_number": 11.940000454169649,
              "species": "up"
            }
          ]
        }
      ],
      "scope": "The same calibrated finite source has a declared complete group-number measurement service on every occupation, with 84 fermion count factors and 435 nonzero boson count groups. Its full 1,653-state polarization change preserves the Gibbs state before helicity labels are assigned. Color coherence and all quantum references are retained. Temperature and Gibbs preparation are supplied; these measured finite counts are not continuum-gas or early-Universe abundances."
    },
    "hadron": {
      "rows": [
        {
          "label": "nucleon rho anchor",
          "GeV": 1.1305247144886161,
          "stat": 0.030231461618830342,
          "fit_sensitivity": 0.0532032647372771
        },
        {
          "label": "nucleon string anchor",
          "GeV": 0.8702868276647351,
          "stat": 0.024190819366538118,
          "fit_sensitivity": 0.07689575608469257
        },
        {
          "label": "pion rho anchor",
          "GeV": 0.13799627999999997,
          "stat": 0.0,
          "fit_sensitivity": 0.0
        },
        {
          "label": "pion string anchor",
          "GeV": 0.10623062301212861,
          "stat": 0.0014013275005260392,
          "fit_sensitivity": 0.011760894458717946
        },
        {
          "label": "rho rho anchor",
          "GeV": 0.77526,
          "stat": 0.0,
          "fit_sensitivity": 0.0
        },
        {
          "label": "rho string anchor",
          "GeV": 0.596801252877127,
          "stat": 0.007872626407449668,
          "fit_sensitivity": 0.06607244077931429
        }
      ],
      "scope": "Correlated fits reconstruct the 32-stream covariance and refit every deletion. Rho-anchored pion and rho values are calibration inputs. The separate fit-sensitivity column is a finite-design allowance, not a confidence interval or total uncertainty. One-spacing quenched systematics and the physical source clock are unbounded."
    },
    "flavour": {
      "charged_invariants": 13,
      "weinberg_invariants": 22,
      "rank_two_invariants": 20,
      "scope": "Exact family-basis quotient counts do not select the invariant values. The complete native current-loop instrument measures a CP-sensitive contrast with every original record retained."
    },
    "frequency": {
      "rows": [
        {
          "frequencies": [
            1,
            2
          ],
          "coefficients": [
            0.33188177322474355,
            1.039816494095895,
            0.33188177322474355,
            1.039816494095895
          ]
        },
        {
          "frequencies": [
            2,
            3
          ],
          "coefficients": [
            0.745139423298807,
            0.8864262346289198,
            0.745139423298807,
            0.8864262346289198
          ]
        },
        {
          "frequencies": [
            4,
            8
          ],
          "coefficients": [
            0.6867078829989955,
            0.6018748509772209,
            0.6867078829989955,
            0.6018748509772209
          ]
        }
      ],
      "scope": "Finite Euclidean connected three-point function and explicit full-leg amputation; no spatial momentum, physical renormalization scheme or selected Higgs vacuum is inferred. The table summarizes four selected components; the linked receipt retains the complete 72-component first-frequency tensor, including zeros."
    }
  },
  "current_measurements": {
    "cards": [
      {
        "key": "clock_energy",
        "title": "Complete native event timeline",
        "text": "Six controls retain 7,632 clock/return/detector records. At full activity q=1 and cap three, timeout is 15806/16875. Fresh coherent services are supplied; an absolute GeV or SI clock is not derived.",
        "proof": "model/lepton_clock_energy/PROOF.md"
      },
      {
        "key": "archive_compression",
        "title": "48 archive qubits → at most 2",
        "text": "All 8 original classical bits and every quantum reference correlation survive. Exact rank certificates retain rare directions; compression costs 1,767,798 additional native pulses in the worst four-round history.",
        "proof": "model/lepton_archive_compression/PROOF.md"
      },
      {
        "key": "sector_measure",
        "title": "The stationary quantum algebra is explicit",
        "text": "The admitted ten-dimensional Gauss source has a 7-dimensional fixed operator algebra and a 6-dimensional density family. Sector weights remain preparation inputs; scalar sector counts do not close all coherences.",
        "proof": "model/quantum_sector_measure/PROOF.md"
      },
      {
        "key": "finite_spectroscopy",
        "title": "Finite-time mass confidence sets",
        "text": "An exactly equivalent adaptive pointer uses one reusable qubit plus five retained bits and preserves all 8,010 original records. Its ideal coverage is at least 65/72 for normalized one-excitation inputs at the phase detector. Vacuum and many-excitation records remain terminal without a mass interval. Neutrino labels remain unresolved; large precision plans are separate from execution.",
        "proof": "model/finite_particle_spectroscopy/PROOF.md"
      },
      {
        "key": "neutrino_observables",
        "title": "Conditional neutrino observables",
        "text": "The same calibrated Majorana block yields beta mass, mass sum and the full relative-phase envelope of mₑₑ. Six success outcomes, failure and the full spectator complement survive; no nuclear or beta-decay rate is computed.",
        "proof": "model/neutrino_mass_observables/PROOF.md"
      },
      {
        "key": "flavour_transport",
        "title": "One source phase pulse gives nonzero CP",
        "text": "A declared rank-one pulse gives J=-1.88746878e-08; the three-pulse control gives -0.0241058966. All 18 current-loop records remain. The word is a declared architectural choice; no physical CKM match is claimed.",
        "proof": "model/native_flavour_transport/PROOF.md"
      },
      {
        "key": "bath_mixing",
        "title": "Certified cooling lag on the finite bath",
        "text": "Rational spectral bounds control mixing within each of the 26 preserved components of the declared reversible repair-bath extension. Complete bath records retain initial information. Temperature and cooling schedule are supplied; no unique global Gibbs law is claimed.",
        "proof": "model/native_bath_mixing/PROOF.md"
      },
      {
        "key": "quantum_relaxation",
        "title": "A complete quantum bath for particle counts",
        "text": "The calibrated 180-fermion-mode source and globally capped boson space admit explicit collisions, cooling laws and reference-inclusive marginal mixing bounds. All bath coordinates survive; relaxation of the reduced source is not erasure of its archive.",
        "proof": "model/quantum_thermal_relaxation/PROOF.md"
      },
      {
        "key": "expanding_particles",
        "title": "Particle records under declared expansion",
        "text": "The same calibrated CAR source evolves all twelve fermion species under a supplied 1→4 expansion. Complete pair/count laws and interval evolution bounds survive. Boson production is not calculated; physical cosmic time and backreaction are not derived.",
        "proof": "model/expanding_quadratic_particles/PROOF.md"
      },
      {
        "key": "paired_quark_scale",
        "title": "Paired bare Wilson masses in GeV",
        "text": "All 32 paired archive streams propagate critical/tuned hopping parameters and three scale assignments. Values below are bare Wilson action coordinates, not identified physical quark masses. Statistical and fit-sensitivity errors stay separate.",
        "proof": "model/paired_hadron_quark_scale/PROOF.md"
      }
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          "2": 2,
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        "compression_pulses": 441406,
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        "original_qubits": 24,
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            "source": "https://pdgweb.lbl.gov/2025/listings/rpp2025-list-pi-zero.pdf",
            "uncertainty_GeV": 5e-07,
            "value_GeV": 0.1349768
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          "missing_physical_attachment": [
            "quark loops",
            "finite-volume control",
            "continuum extrapolation",
            "electromagnetic and up/down splitting",
            "native observer/source/clock transfer"
          ],
          "particle": "pi0",
          "physical_source_derived_mass_GeV": null,
          "shares_calibrated_quadratic_elementary_source": false,
          "source": "model/pion_mass_readout/results.json",
          "source_kind": "archived quenched Wilson correlator fit with degenerate u,d"
        },
        {
          "alternative_scale_GeV": {
            "fit_sensitivity_GeV": 0.009553064031875011,
            "statistical_GeV": 0.0013273009102914945,
            "value_GeV": 0.10540200085328977
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          "conditional_GeV": {
            "fit_sensitivity_GeV": 0.0,
            "statistical_GeV": 0.0,
            "value_GeV": 0.13799627999999997
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          "electric_charge": -1,
          "experimental_reference": {
            "source": "https://pdg.lbl.gov/2025/listings/rpp2025-list-pi-plus-minus.pdf",
            "uncertainty_GeV": 1.8e-07,
            "value_GeV": 0.13957039
          },
          "missing_physical_attachment": [
            "quark loops",
            "finite-volume control",
            "continuum extrapolation",
            "electromagnetic and up/down splitting",
            "native observer/source/clock transfer"
          ],
          "particle": "pi-",
          "physical_source_derived_mass_GeV": null,
          "shares_calibrated_quadratic_elementary_source": false,
          "source": "model/pion_mass_readout/results.json",
          "source_kind": "archived quenched Wilson correlator fit with degenerate u,d"
        },
        {
          "alternative_scale_GeV": {
            "fit_sensitivity_GeV": 0.07609178413687845,
            "statistical_GeV": 0.017690230626028217,
            "value_GeV": 0.8611876753627022
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          "conditional_GeV": {
            "fit_sensitivity_GeV": 0.09269473041053353,
            "statistical_GeV": 0.0259907840593193,
            "value_GeV": 1.1274994271438572
          },
          "electric_charge": 1,
          "missing_physical_attachment": [
            "quark loops",
            "finite-volume control",
            "continuum extrapolation",
            "electromagnetic and up/down splitting",
            "native observer/source/clock transfer"
          ],
          "particle": "proton",
          "physical_source_derived_mass_GeV": null,
          "shares_calibrated_quadratic_elementary_source": false,
          "source": "model/pion_mass_readout/results.json",
          "source_kind": "degenerate-isospin assignment of the archived nucleon fit"
        },
        {
          "alternative_scale_GeV": {
            "fit_sensitivity_GeV": 0.07609178413687845,
            "statistical_GeV": 0.017690230626028217,
            "value_GeV": 0.8611876753627022
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          "conditional_GeV": {
            "fit_sensitivity_GeV": 0.09269473041053353,
            "statistical_GeV": 0.0259907840593193,
            "value_GeV": 1.1274994271438572
          },
          "electric_charge": 0,
          "missing_physical_attachment": [
            "quark loops",
            "finite-volume control",
            "continuum extrapolation",
            "electromagnetic and up/down splitting",
            "native observer/source/clock transfer"
          ],
          "particle": "neutron",
          "physical_source_derived_mass_GeV": null,
          "shares_calibrated_quadratic_elementary_source": false,
          "source": "model/pion_mass_readout/results.json",
          "source_kind": "degenerate-isospin assignment of the archived nucleon fit"
        },
        {
          "alternative_scale_GeV": {
            "fit_sensitivity_GeV": 0.053668899055477594,
            "statistical_GeV": 0.007456746687030869,
            "value_GeV": 0.5921460722094931
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          "conditional_GeV": {
            "fit_sensitivity_GeV": 0.0,
            "statistical_GeV": 0.0,
            "value_GeV": 0.77526
          },
          "electric_charge": "+1,0,-1",
          "missing_physical_attachment": [
            "quark loops",
            "finite-volume control",
            "continuum extrapolation",
            "electromagnetic and up/down splitting",
            "native observer/source/clock transfer"
          ],
          "particle": "rho isospin triplet",
          "physical_source_derived_mass_GeV": null,
          "shares_calibrated_quadratic_elementary_source": false,
          "source": "model/pion_mass_readout/results.json",
          "source_kind": "rho mass is the chosen empirical scale anchor"
        }
      ],
      "pion_rows": [
        {
          "electric_charge": 1,
          "experimental_reference": {
            "source": "https://pdg.lbl.gov/2025/listings/rpp2025-list-pi-plus-minus.pdf",
            "uncertainty_GeV": 1.8e-07,
            "value_GeV": 0.13957039
          },
          "particle": "pi+",
          "physical_source_derived_mass_GeV": null,
          "rho_anchor": {
            "fit_sensitivity_GeV": 0.0,
            "statistical_GeV": 0.0,
            "value_GeV": 0.13799627999999997
          },
          "source": "pseudoscalar Wilson quark-antiquark correlator",
          "spin_parity": "0-",
          "string_anchor": {
            "fit_sensitivity_GeV": 0.009553064031875011,
            "statistical_GeV": 0.0013273009102914945,
            "value_GeV": 0.10540200085328977
          },
          "valence_operator": "u anti-d"
        },
        {
          "electric_charge": 0,
          "experimental_reference": {
            "source": "https://pdgweb.lbl.gov/2025/listings/rpp2025-list-pi-zero.pdf",
            "uncertainty_GeV": 5e-07,
            "value_GeV": 0.1349768
          },
          "particle": "pi0",
          "physical_source_derived_mass_GeV": null,
          "rho_anchor": {
            "fit_sensitivity_GeV": 0.0,
            "statistical_GeV": 0.0,
            "value_GeV": 0.13799627999999997
          },
          "source": "pseudoscalar Wilson quark-antiquark correlator",
          "spin_parity": "0-",
          "string_anchor": {
            "fit_sensitivity_GeV": 0.009553064031875011,
            "statistical_GeV": 0.0013273009102914945,
            "value_GeV": 0.10540200085328977
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          "valence_operator": "(u anti-u - d anti-d)/sqrt(2)"
        },
        {
          "electric_charge": -1,
          "experimental_reference": {
            "source": "https://pdg.lbl.gov/2025/listings/rpp2025-list-pi-plus-minus.pdf",
            "uncertainty_GeV": 1.8e-07,
            "value_GeV": 0.13957039
          },
          "particle": "pi-",
          "physical_source_derived_mass_GeV": null,
          "rho_anchor": {
            "fit_sensitivity_GeV": 0.0,
            "statistical_GeV": 0.0,
            "value_GeV": 0.13799627999999997
          },
          "source": "pseudoscalar Wilson quark-antiquark correlator",
          "spin_parity": "0-",
          "string_anchor": {
            "fit_sensitivity_GeV": 0.009553064031875011,
            "statistical_GeV": 0.0013273009102914945,
            "value_GeV": 0.10540200085328977
          },
          "valence_operator": "d anti-u"
        }
      ],
      "calibrations": {
        "anchor_and_model_uncertainty_GeV": null,
        "conditional_inverse_spacing_GeV": {
          "rho": 1.4110788768175944,
          "string": 1.0777865677131822
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        "fit_sensitivity_domain": "finite fit-choice envelope, not a confidence interval or a discretization bound",
        "pion_rho_anchor_zero_error_reason": "ratio and rho mass are fixed calibration inputs; no total physical uncertainty assigned",
        "rho_anchor": {
          "nucleon": {
            "fit_sensitivity_GeV": 0.09269473041053353,
            "statistical_GeV": 0.0259907840593193,
            "value_GeV": 1.1274994271438572
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          "pion": {
            "fit_sensitivity_GeV": 0.0,
            "statistical_GeV": 0.0,
            "value_GeV": 0.13799627999999997
          },
          "rho": {
            "fit_sensitivity_GeV": 0.0,
            "statistical_GeV": 0.0,
            "value_GeV": 0.77526
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        },
        "statistical_domain": "paired delete-one-gauge-stream jackknife of the retained fit chain",
        "string_anchor": {
          "nucleon": {
            "fit_sensitivity_GeV": 0.07609178413687845,
            "statistical_GeV": 0.017690230626028217,
            "value_GeV": 0.8611876753627022
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          "pion": {
            "fit_sensitivity_GeV": 0.009553064031875011,
            "statistical_GeV": 0.0013273009102914945,
            "value_GeV": 0.10540200085328977
          },
          "rho": {
            "fit_sensitivity_GeV": 0.053668899055477594,
            "statistical_GeV": 0.007456746687030869,
            "value_GeV": 0.5921460722094931
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        }
      },
      "empirical_inputs": {
        "alternative_sqrt_sigma_GeV": 0.44,
        "light_quark_tuning_mpi_over_mrho": 0.178,
        "physical_point_kappa": [
          0.16899427221040478,
          5.935378464566601e-05
        ],
        "rho_anchor_GeV": 0.77526
      },
      "splitting": {
        "experimental_difference_GeV": 0.004593589999999981,
        "missing_terms": [
          "electromagnetism",
          "nondegenerate up/down masses"
        ],
        "source_GeV": 0
      },
      "scope": "This diagonal-fit control assigns the pion triplet, proton/neutron and rho labels using the archived quenched Wilson correlators. The correlated-covariance fit is displayed separately above. Rho and string anchors give different conditional GeV conversions. The pion/rho ratio is a tuning input; zero fit error at that calibrated point is not zero physical uncertainty. Quark loops, volume/continuum control, electromagnetic splitting and a native source/clock transfer are outside these fits."
    }
  },
  "yukawa": {
    "physical_Yukawa_spectrum_derived": false,
    "physical_quark_mass_prediction": false,
    "physical_neutrino_mass_prediction": false,
    "finding": "The finite source supplies exact interaction tensors, complete response records and an ordered-correlation correction. These calculations expose how a specified Higgs variation becomes a family coupling, and which parts depend on a declared interaction.",
    "rows": [
      {
        "key": "operator",
        "title": "Extract every family coefficient",
        "result": "The native Higgs tensors admit an exact dual that recovers all 27 complex coefficients from a specified Higgs variation. It recovers the existing trial action exactly; a dynamical Higgs kinetic residue is a separate input.",
        "proof": "model/yukawa_source_operator/PROOF.md"
      },
      {
        "key": "feedback",
        "title": "Keep the order of source records",
        "result": "Summing every correlation lag gives a nonzero coherent correction I ⊗ J without inserting a phase. The first-order term is not a Yukawa correction. The pairing sector receives the derived second-order term h²Y₃.",
        "proof": "model/yukawa_source_feedback/PROOF.md"
      },
      {
        "key": "running",
        "title": "Recover the specified finite coupling",
        "result": "Complete source records invert the declared coupling. Conditional one-loop running and finite spectral controls retain their supplied interaction parameters; no source-to-physical Yukawa matching is inferred.",
        "proof": "model/yukawa_source_running/PROOF.md"
      },
      {
        "key": "dynamics",
        "title": "Normalize the complete response",
        "result": "Restoring all twelve source modes gives two protected zero directions and a rank-one zero-frequency Schur response. The complete cyclic instrument is dephasing; its full record map has unit singular values.",
        "proof": "model/yukawa_source_dynamics/PROOF.md"
      }
    ],
    "scope": "No source-derived physical charged-fermion Yukawa spectrum is established. These finite results make no quark or neutrino mass prediction. A physical Higgs intervention, its kinetic residue and the same-source field and clock attachment are required."
  },
  "defect_response": {
    "physical_Yukawa_prediction": false,
    "principle": "A particle assignment is a readout of how a defect propagates and responds. Its charge class constrains the allowed interaction; the coupling depends on the full mode and its response to a scalar intervention.",
    "overlap": {
      "profiles": {
        "uniform": {
          "label": "Uniform scalar",
          "strengths": [
            0.9999999999999999,
            0.9999999999999999,
            0.9999999999999999,
            0.9999999999999994
          ],
          "ratio": 1.0000000000000004,
          "sites": 343,
          "complement_leakage_norm": 4.458888968494779e-15
        },
        "positive_core_patch": {
          "label": "Local 27-site scalar patch",
          "strengths": [
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            0.9999999813660153,
            6.103143005537515e-05,
            6.1031430055200516e-05
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          "ratio": 16384.99999855083,
          "sites": 27,
          "complement_leakage_norm": 0.007812023119517711
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      },
      "retained_modes": 4,
      "complete_scalar_sites": 343,
      "finding": "One fixed 686-state spatial operator supplies four localized modes. Projecting every local unit scalar insertion onto their complete normalized band gives two doubled response strengths. The local patch reaches the other core through a hopping tail, producing a large overlap hierarchy without family-tagged coefficients.",
      "scope": "These are finite profile diagnostics. The local patch is a declared intervention, not a scalar mode selected by the source. Uniform scalar response has no hierarchy. Four modes give two doubled strengths, not three generations. The common-source panel supplies its own selected free scalar mode and vacuum metric. Interacting poles and a physical generation assignment require their stated attachments."
    },
    "scalar": {
      "rows": [
        {
          "label": "uᶜ",
          "moment": 0.6924689771531263,
          "derivative": 0.013666799226072612
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        {
          "label": "dᶜ",
          "moment": 0.6924689771531263,
          "derivative": 0.013666799226072612
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        {
          "label": "Q",
          "moment": 0.6924151049545202,
          "derivative": 0.01366919332771488
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        {
          "label": "eᶜ",
          "moment": 0.6739538422219056,
          "derivative": 0.014489619081487604
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        {
          "label": "L",
          "moment": 0.32840920213645575,
          "derivative": 0.007625562331028846
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      ],
      "finding": "On the separate thirty-mode quantum source, varying the scalar occupation cost changes the actual ground polarization and the complete second energy-transfer moment of each removal probe. Every target energy and the one-half failure probability enter the sum.",
      "formula": "H(μ) = V + μN_H; M₂(μ) = Σⱼ wⱼ(μ)[Eⱼ(μ) − E₀(μ)]²",
      "scope": "Decimal summaries of exact enclosed values at μ = 1, in source-clock units. The derivative follows the changed ground state. Scalar occupation cost is not a Higgs field amplitude; these values are neither masses nor Yukawa coefficients."
    },
    "vertex": {
      "source_dimension": 320,
      "preparation_probability": "1/160",
      "scalar_spectral_moment": "14/5",
      "normalized_contact_coefficient": "sqrt(70)/5",
      "normalized_contact_coefficient_display": "√(14/5)",
      "pair_pointer_slope": "-3/10",
      "finding": "The separate 320-state lepton-Higgs source has a declared unit interaction. Complete fermion and scalar records reconstruct its contact vertex, while an actual charged-scalar pulse produces a pair-pointer response with its quantum charge reference retained.",
      "scope": "The scalar spectral moment is 14/5; its finite contact normalization is √(14/5). This is a measured normalization of the specified unit interaction, not an on-shell Yukawa coupling. The pair-pointer slope is measured at zero scalar-pulse angle on the prepared ground. The original ground-preparation probability is 1/160, with all other preparation outcomes retained."
    },
    "source_domains": "The overlap, local cost-response and 320-state contact controls retain their separate preparations. The common-source panel states their proved attachments and keeps the control-only normalizations distinct."
  },
  "calibrated_quarks": {
    "rows": [
      {
        "label": "Up",
        "value_GeV": 0.0012359411566124987,
        "uncertainty_GeV": null,
        "role": "empirically calibrated running action parameter",
        "native_prediction": false
      },
      {
        "label": "Down",
        "value_GeV": 0.0027017666465740547,
        "uncertainty_GeV": null,
        "role": "empirically calibrated running action parameter",
        "native_prediction": false
      },
      {
        "label": "Strange",
        "value_GeV": 0.053747985146411374,
        "uncertainty_GeV": null,
        "role": "empirically calibrated running action parameter",
        "native_prediction": false
      },
      {
        "label": "Charm",
        "value_GeV": 0.6242499655172186,
        "uncertainty_GeV": null,
        "role": "empirically calibrated running action parameter",
        "native_prediction": false
      },
      {
        "label": "Bottom",
        "value_GeV": 2.862404952855039,
        "uncertainty_GeV": null,
        "role": "empirically calibrated running action parameter",
        "native_prediction": false
      },
      {
        "label": "Top",
        "value_GeV": 169.88959799289776,
        "uncertainty_GeV": null,
        "role": "empirically calibrated running action parameter",
        "native_prediction": false
      }
    ],
    "scale_GeV": 91.1876,
    "scheme": "Tadpole-free pure MS-bar Standard Model",
    "empirically_calibrated": true,
    "native_predictions": 0,
    "joint_uncertainty_available": false,
    "finding": "These six values belong to an empirically calibrated comparison extension. All nine charged Yukawa couplings and the Higgs scale are fitted inputs; each displayed parameter is y v/√2. The action checks the common mass and current conventions. It does not derive six native quark masses.",
    "scope": "All entries use the tadpole-free pure MS-bar Standard Model scheme at μ = 91.1876 GeV. The pinned SMDR 1.3 calibration fits reference observables and checks its forward output. No joint uncertainty has been propagated, and the displayed digits are numerical values of the fixed calibration. These running action parameters are not isolated free-quark poles. Values quoted at 2 GeV, at a quark’s own scale, or in a direct-reconstruction top-mass convention require matching before comparison. No common native-clock or source-to-physical mass map is supplied.",
    "provenance": {
      "authors": "Stephen P. Martin and David G. Robertson",
      "title": "Standard Model parameters in the tadpole-free pure MSbar scheme",
      "url": "https://github.com/davidgrobertson/SMDR",
      "paper": "https://arxiv.org/abs/1907.02500",
      "version": "1.3",
      "commit": "5c4dd92c918cadb7f91ad3795694f8398b5c287a",
      "calibration_inputs": "benchmark_data/ReferenceModel.dat; uncertainties and measurement conventions from src/smdr_pdg.h",
      "Z_selection": "LEP-only reference; this is not a current all-data fit",
      "metadata": "Pinned PDG2025 reference inputs; top pole extraction, hadronic alpha input and perturbative matching remain empirical/theory premises."
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  "lepton": {
    "finding": "The squared-eigenvalue ratios are μ/e = 206.770316 and τ/e = 3477.472837. The comparison-only muon residual is +9.83358 ppm against CODATA 2022, or 442.02 experimental standard uncertainties. The PDG 2024 tau comparison is 30.93584 ppm high (about 0.611 experimental standard uncertainties). These are reference-only discrepancies, with no joint likelihood or invented theory error. Two shape parameters have a nonsingular ratio Jacobian; common normalization cancels. Independence of the two prepared cells fixes the phase 2/9. No phase or round count is fitted here. The mass-read double-load effect has trace 5/18, a common factor 5/4 above the separate native-pair effect; their ratios coincide. A physical pole-mass interpretation is an additional premise."
  },
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    "description": "A closed triangular cell has three bounded loads and two opposite face classes. Its 1,296-state kernel executes the native repair and acceptance rule, with all 7,776 attempted records retained. This is a declared finite cell, with no abundance transfer to the full federation.",
    "finding": "For independent uniform initial loads in 0–5 and initial flux zero, the exact persistent occupied-face share is 1007/13824 (7.28443287%). The 128-attempt bracket width is approximately 5.853e-10. For every initial distribution, unresolved probability is at most 25^(−floor(n/32)). The cost is nonincreasing on every branch; it has no physical temperature or energy calibration."
  },
  "species": {
    "cases": {
      "full32": {
        "label": "Full 32-component fermion menu",
        "components": 32,
        "rank": 6,
        "nullity": 26,
        "family_label_values": 1,
        "all_label_values": 2
      },
      "restricted30": {
        "label": "Restricted 30-component fermion menu",
        "components": 30,
        "rank": 6,
        "nullity": 24,
        "family_label_values": 1,
        "all_label_values": 2
      },
      "full32_bosons": {
        "label": "Full menu plus Higgs and gauge components",
        "components": 48,
        "rank": 6,
        "nullity": 42,
        "family_label_values": 2,
        "all_label_values": 3
      },
      "restricted30_bosons": {
        "label": "Restricted menu plus Higgs and gauge components",
        "components": 46,
        "rank": 6,
        "nullity": 40,
        "family_label_values": 2,
        "all_label_values": 3
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    },
    "thermal_rows": [
      {
        "label": "Quark",
        "number": 0.5654450261780105,
        "energy": 0.5901639344262295
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      {
        "label": "Lepton",
        "number": 0.14136125654450263,
        "energy": 0.14754098360655737
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      {
        "label": "Higgs",
        "number": 0.041884816753926704,
        "energy": 0.03747072599531616
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      {
        "label": "Gauge",
        "number": 0.2513089005235602,
        "energy": 0.22482435597189696
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    ],
    "finding": "For a census of declared code quanta, q = c₁+c₂+c₄+c₅ identifies the quark-labelled total. With Higgs and gauge components admitted, the lepton total can be anywhere from 0 to c₀+c₃. A fermion/boson bit within classes 0 and 3 resolves the aggregate family totals. Three label values resolve the finer up/down and charged/neutral aggregates. These are minimum information requirements; no particle decoder for native flux-face records is implemented.",
    "thermal_scope": "Comparison only: a massless ideal Standard Model gas at 1 TeV, a common equilibrium temperature, zero chemical potentials, three active-neutrino families and no populated right-handed neutrinos. Counts include antiparticles, physical helicities and all gauge/Higgs components. Number fractions weight fermions by 3/4; energy fractions use 7/8. Their fermion-only quark/lepton split is 80%/20%. Uniform full-code counting gives 75%/25% instead. Interactions, masses and thermal-mass corrections are omitted. No early-Universe abundance match is inferred from the native runs."
  },
  "symmetry": {
    "rows": [
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        "x": 630,
        "single": 2,
        "paired": 0
      },
      {
        "x": 1260,
        "single": 1,
        "paired": 0
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      {
        "x": 1890,
        "single": 2,
        "paired": 0
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        "paired": 0
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      {
        "x": 3150,
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        "paired": 0
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        "x": 3780,
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      {
        "x": 5040,
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        "paired": 0
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        "x": 5670,
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      {
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        "paired": 0
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      {
        "x": 6930,
        "single": -6,
        "paired": 0
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      {
        "x": 7560,
        "single": -1,
        "paired": 0
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    ],
    "finding": "The solid curve is the class-1 minus class-5 count in one native history on 412 faces. The dashed curve is its exact paired mean with the conjugated history. The theorem covers all finite attempt counts under the stated symmetry premises."
  },
  "hadron": {
    "rows": [
      {
        "label": "mρ / √σ",
        "value": 1.3326449330774253,
        "statistical": 0.016908308594359003,
        "systematic": 0.12082514741527217
      },
      {
        "label": "mN / √σ",
        "value": 1.9316792225252972,
        "statistical": 0.04070198771926977,
        "systematic": 0.1776141013987369
      },
      {
        "label": "mN / mρ",
        "value": 1.4495077980483109,
        "statistical": 0.03443384618599945,
        "systematic": 0.1273655406304488
      }
    ],
    "finding": "In the archived diagonal-fit control, the paired contrast (mN − mρ)/√σ is 0.599034 ± 0.042860 statistically. Discarding covariance gives 0.044074 for that error. The common scale cancels from mN/mρ in every replica. These one-spacing quenched results do not bound quenching, volume or continuum effects; the contrast has no fit-systematic allowance."
  },
  "crossover": {
    "finding": "The declared-chain crossover central value is 161.1298 GeV. Missing shared-reference covariance leaves a compatible statistical SD range [0.11810, 0.13680] GeV under independent run sets, or [0.00000, 0.27631] GeV without that premise. These linearized SD ranges are not confidence intervals. The declared reduction allowance is 1.6113 GeV; no probability law is supplied for that allowance or combined Gaussian significance. At matched physical size Lg₃² = 8, the linear cutoff fit gives 160.8546 ± 0.0720 GeV statistically. The finite-design displacement across fit variants reaches 0.3490 GeV. A three-point linear-plus-quadratic fit has zero residual degrees of freedom. This sensitivity is separate from the declared reduction uncertainty and is not a controlled continuum or infinite-volume error bound."
  },
  "repair": {
    "finding": "A known binary preparation and complete addressed current records reconstruct the pair distance using a seven-bit tracked-state index. Exact quotient powers reach 1% total-variation accuracy after 39 attempts for every initial distance law. The bounded controller uses at most 298 retained logical bits, or 311 including the incoming packet. Missing, incompatible or out-of-order records halt inference. The source halts at tape capacity. Preparation, scheduler, program storage and physical implementation are explicit separate inputs."
  }
}